Some Coefficient Estimates for Polynomials on the Unit Interval

2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.

New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points

2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.

Identification of a time-dependent bio-heat blood perfusion coefficient

In the paper the identification of the time-dependent blood perfusion coefficient is formulated as an inverse problem. The bio-heat conduction problem is transformed into the classical heat conduction problem. Then the transformed inverse problem is solved using the method of fundamental solutions together with the Tikhonov regularization. Some numerical results are presented in order to demonstrate the accuracy and the stability of the proposed meshless numerical algorithm.

Thermal effects on the photoelastic coefficient of polymer optical fibers

We measure the radial profile of the photoelastic coefficient C(r) in single-mode polymer optical fibers (POFs), and we determine the evolution of C(r) after annealing the fibers at temperatures from 40°C to 80°C. We demonstrate that C(r) in the fibers drawn from a preform without specific thermal pre-treatment changes and converges to values between 1.2 and 1.6×10-12 Pa-1 following annealing at 80°C. The annealed fibers display a smoothened radial profile of C(r) and a lowered residual birefringence. In contrast, the mean value of C(r) of the fiber drawn from a preform that has been pre-annealed remains constant after our annealing process and is significantly higher, i.e., 4×10-12 Pa-1. The annealing process decreases the residual birefringence to a lower extent as well. These measurements indicate the impact of annealing on the thermal stability of the photoelastic coefficient of POFs, which is an essential characteristic in view of developing POF-based thermomechanical sensors.

Impact de la taille de la partition de l'espace-paramètre sur les résultats des tests d'hypothèses multiples sous différentes fonctions de perte

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Measurements of stress-optic coefficient and Young's modulus in PMMA fibers drawn under different conditions

We have systematically measured the differential stress-optic coefficient, ΔC, and Young's modulus, E, in a number of PMMA fibers drawn with different stress, ranging from 2 up to 27 MPa. Effect of temperature annealing on those parameters was also investigated. ΔC was determined in transverse illumination by measuring the dependence of birefringence on additional axial stress applied to the fiber. Our results show that ΔC in PMMA fibers has a negative sign and ranges from -4.5 to -1.5×10-12 Pa -1 depending on the drawing stress. Increase of the drawing stress results in greater initial fiber birefringence and lower ΔC. The dependence of ΔC and initial birefringence upon drawing stress is nonlinear and gradually saturates for higher drawing stress. Moreover, we find that ΔC is linearly proportional to initial fiber birefringence and that annealing the fiber has no impact on the slope of this dependence. On the other hand, no clear dependence was observed between the fiber drawing stress and the Young's modulus of the fibers as measured using microscopic digital image correlation with the fibers tensioned using an Instron tension tester. © 2010 SPIE.

Impact de la taille de la partition de l'espace-paramètre sur les résultats des tests d'hypothèses multiples sous différentes fonctions de perte

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Refractometry Studies of the Optical Properties of Polymer Films and the Development of Polymer Coated Refractive Index Sensors

Sensors for real-time monitoring of environmental contaminants are essential for protecting ecosystems and human health. Refractive index sensing is a non-selective technique that can be used to measure almost any analyte. Miniaturized refractive index sensors, such as silicon-on-insulator (SOI) microring resonators are one possible platform, but require coatings selective to the analytes of interest. A homemade prism refractometer is reported and used to characterize the interactions between polymer films and liquid or vapour-phase analytes. A camera was used to capture both Fresnel reflection and total internal reflection within the prism. For thin-films (d = 10 μm - 100 μm), interference fringes were also observed. Fourier analysis of the interferogram allowed for simultaneous extraction of the average refractive index and film thickness with accuracies of ∆n = 1-7 ×10-4 and ∆d < 3-5%. The refractive indices of 29 common organic solvents as well as aqueous solutions of sodium chloride, sucrose, ethylene glycol, glycerol, and dimethylsulfoxide were measured at λ = 1550 nm. These measurements will be useful for future calibrations of near-infrared refractive index sensors. A mathematical model is presented, where the concentration of analyte adsorbed in a film can be calculated from the refractive index and thickness changes during uptake. This model can be used with Fickian diffusion models to measure the diffusion coefficients through the bulk film and at the film-substrate interface. The diffusion of water and other organic solvents into SU-8 epoxy was explored using refractometry and the diffusion coefficient of water into SU-8 is presented. Exposure of soft baked SU-8 films to acetone, acetonitrile and methanol resulted in rapid delamination. The diffusion of volatile organic compound (VOC) vapours into polydimethylsiloxane and polydimethyl-co-polydiphenylsiloxane polymers was also studied using refractometry. Diffusion and partition coefficients are reported for several analytes. As a model system, polydimethyl-co-diphenylsiloxane films were coated onto SOI microring resonators. After the development of data acquisition software, coated devices were exposed to VOCs and the refractive index response was assessed. More studies with other polymers are required to test the viability of this platform for environmental sensing applications.

Analysis of heat transfer coefficient in silica nanofluids with water as base fluid under transitional flow

The effect of Reynolds number variation in a vertical double pipe counterflow heat exchanger due to the changes in viscosity can cause the change in flow regime, for instance, when heats up and cools down, it can convert from turbulent to laminar or inversely, that can have significant effect on heat transfer coefficient and pressure drop. Mainly, the range of transition phase has been studied in this study with the investigation of silica nanofluid dispersed in water in three different concentrations. The results have been compared with distilled water sample and showed a remarkable raise in heat transfer coefficient while pressure drop has been increased respectively, as well. Although pumping power has to go up at the same time and it is a drawback, heat transfer efficiency grows for diluted samples. On the other hand, for the most concentrated sample, effect of pressure drop dominates which leads to decline in the overall efficiency.

Inputs from a mercury-contaminated lagoon: impact on the nearshore waters of the Atlantic Ocean

Ria de Aveiro, a Portuguese coastal lagoon that exchanges water with the Atlantic Ocean, received the effluent from a chlor-alkali industry for over 50 years; consequently several tons of mercury had been buried in the sediments of an inner basin. To assess the importance (and seasonal variation) of the lagoon waters as carriers of mercury to the nearby coastal area, we measured total mercury levels in several compartments: in surface sediments, in surface and deep waters (including dissolved and particulate matter!, and in biota. Dissolved (reactive and total) mercury concentrations both in surface and deep waters were low (<1 to 15 ng L '). Mean mercury values in suspended particulate matter varied hetween 0.2 and 0.6 jxg g ' and in sediments between 1 and 9 ng g '. Aquatic organisms displayed levels below regulatory limits but exhibited some bioaccumulation of mercury, with concentrations ranging from 0.05 to 0.8 ^ig g ' Idry weight (dw)|. No seasonal pattern was found in this study for mercury-related determinations. Levels found in the estuary mouth during ebb tide provide evidence for the transport of mercury to the coastal zone. No significant changes in the partition of mercury between dissolved and particulate phases were found in the coastal waters in comparison with the values found in the estuary mouth. In spite of the high levels of mercury found inside some areas of the lagoon, the wide web of islands and channels allows some spreading of contaminants before they reach the coastal waters. Moreover, the low efficiency of local marine sediments in trapping mercury contributes to a dilution of mercury transported in suspended particulate matter over a broader area, reducing the impact in the nearby manne coastal zone.

Partition alignment in three dimensional unstructured mesh multi-physics modelling

Unstructured mesh codes for modelling continuum physics phenomena have evolved to provide the facility to model complex interacting systems. Parallelisation of such codes using single Program Multi Data (SPMD) domain decomposition techniques implemented with message passing has been demonstrated to provide high parallel efficiency, scalability to large numbers of processors P and portability across a wide range of parallel platforms. High efficiency, especially for large P requires that load balance is achieved in each parallel loop. For a code in which loops span a variety of mesh entity types, for example, elements, faces and vertices, some compromise is required between load balance for each entity type and the quantity of inter-processor communication required to satisfy data dependence between processors.

Redução dos níveis de Ocratoxina A por ação da enzima peroxidase

A ocratoxina A é um composto formado a partir do metabolismo secundário de fungos dos gêneros Aspergillus e Penicillium. Uma vez que a presença dessa micotoxina nos alimentos causa sérios danos à saúde humana e animal, surge o interesse pelo desenvolvimento de métodos que visem a redução dos seus níveis em diferentes matrizes. Diversos processos de descontaminação têm sido propostos, sendo que os métodos de redução biológica tem recebido destaque. Esses métodos consistem na aplicação de micro-organismos ou de suas enzimas, o que gera a biotransformação ou degradação da toxina produzindo metabólitos com menor ou nenhuma toxicidade. Diante disso, o objetivo geral do trabalho foi avaliar o efeito da peroxidase na redução dos níveis de ocratoxina A. As enzimas peroxidases testadas foram a comercial e a obtida do farelo de arroz. Para a extração enzimática foram utilizadas as frações granulométricas do farelo de arroz de 48 a 100 mesh, sendo estas frações caracterizadas quimicamente. A peroxidase foi extraída do farelo de arroz em tampão 10 mM pH 5,0 e purificada por partição trifásica, obtendo 77,1% de recuperação e 9,2 para o fator de purificação. O método utilizado para a extração da ocratoxina A do sistema aquoso foi por partição líquido-líquido utilizando como solvente o clorofórmio, sendo esse método validado segundo os parâmetros de linearidade (0,1 a 20 ng mL-1), coeficientes de correlação (0,9997) e de determinação (0,9994), e limites de detecção (0,02) e quantificação (0,03). A afinidade entre as peroxidases e a ocratoxina A foi verificada segundo os parâmetros de KM e Vmáx, resultando em 0,00027 mM e 0,000015 mM min-1, respectivamente, para a peroxidase comercial, e 0,0065 mM e 0,000031 mM min-1 para a obtida do farelo de arroz. Com relação aos percentuais de redução de ocratoxina A, foram avaliadas 3 proporções enzima:substrato (1:10, 1:5 e 8:1 para a comercial e 1:10, 1:5 e a com atividade de 0,063 U mL-1 para a do farelo), sendo que as proporções que forneceram maior redução foi a de 8:1 para a enzima comercial (0,063 U mL-1) e a correspondente a 0,063 U mL-1 para a enzima obtida do farelo. Os percentuais de redução de ocratoxina A foram de 59% para a peroxidase comercial em 300 min e 41% para a peroxidase do farelo de arroz em 1440 min. O efeito de adsorção da ocratoxina A pela enzima peroxidase foi descartado uma vez que foi realizada a sua hidrólise com a enzima pepsina e verificado um percentual de 2,7% de adsorção, demonstrando que a redução foi por ação enzimática. A enzima obtida de farelo de arroz com atividade de 0,063 U mL-1 foi aplicada em suco de uva tinto e branco. Observou-se que para o primeiro não houve redução significativa, enquanto que para o segundo a redução foi de 17%. Neste trabalho, então, foi possível verificar a capacidade de redução dos níveis da ocratoxina A pela enzima peroxidase, tanto em sistema aquoso como no suco de uva integral branco.